Circuits Syst Signal Process (2016) 35:3935–3956 3939
and instantaneous perturbations, which is shown as a kind of impulse phenomenon.
Therefore, it is necessary to consider the impulsive controlled DMNNs model. In next,
we will construct a new type of DMNNs model with impulsive effects.
In order to improve the resist disturbance capacity of DMNN (1), impulsive con-
trollers will be added to its nodes. Then, the impulsive controlled DMNN can be
described as follows:
˙x
i
(t) =−d
i
(x
i
(t))x
i
(t) +
n
j=1
a
ij
(x
i
(t)) f
j
(x
j
(t)) +
n
j=1
b
ij
(x
i
(t))g
j
(x
j
(t − τ
j
(t)))
+ u
i
(x
i
(t)) + U
i
(t, x
i
(t)), t ≥ 0, i = 1, 2,...,n, (2)
where
U
i
(t, x
i
(t)) =
∞
k=1
E
ik
(x
i
(t))δ(t − t
k
)
with E
ik
(x) ∈ C[R, R], and δ(·) denotes the Dirac impulsive function defined by
δ(t − t
k
) =
1 t = t
k
, k ∈ N
0 t = t
k
.
From these, it can be found that for any small enough constant h > 0,
x
i
(t
k
+ h) − x
i
(t
k
− h)
=
t
k
+h
t
k
−h
˙x (s)ds
=
t
k
+h
t
k
−h
− d
i
(x
i
(s))x
i
(s) +
n
j=1
a
ij
(x
i
(s)) f
j
(x
j
(s))
+
n
j=1
b
ij
(x
i
(s))g
j
(x
j
(s − τ
j
(s))) + u
i
(x
i
(s)) + U
i
(s, x
i
(s))
ds
=
t
k
+h
t
k
−h
− d
i
(x
i
(s))x
i
(s) +
n
j=1
a
ij
(x
i
(s)) f
j
(x
j
(s))
+
n
j=1
b
ij
(x
i
(s))g
j
(x
j
(s − τ
j
(s))) + u
i
(x
i
(s))
ds + E
ik
(x
i
(t
k
)).
Let h → 0
+
, it can be obtained that x
i
(t
+
k
) = J
ik
(x
i
(t
−
k
)), where 0 ≤ t
0
< t
1
< t
2
<
··· < t
k
< ···(t
k
→∞as k →∞), x
i
(t
k
) = x
i
(t
+
k
) = lim
h→0
+
x
i
(t
k
+ h), and
x
i
(t
−
k
) = lim
h→0
−
x
i
(t
k
+ h) for any i = 1, 2,...,n.
For i, j = 1, 2,...,n, denote d
i
= min{
ˆ
d
i
,
ˇ
d
i
},
ˆ
D = diag{
ˆ
d
i
},
ˇ
D = diag{
ˇ
d
i
},
˜
D = diag{d
i
}, a
ij
= max{ˆa
ij
, ˇa
ij
}, a
ij
= min{ˆa
ij
, ˇa
ij
}, ˜a
ij
= max{| ˆa
ij
|, |ˇa
ij
|},
剩余21页未读，继续阅读
weixin_38625416
- 粉丝: 5
- 资源: 920
我的内容管理
展开
最新资源
- 前端面试必问：真实项目经验大揭秘
- 永磁同步电机二阶自抗扰神经网络控制技术与实践
- 基于HAL库的LoRa通讯与SHT30温湿度测量项目
- avaWeb-mast推荐系统开发实战指南
- 慧鱼SolidWorks零件模型库：设计与创新的强大工具
- MATLAB实现稀疏傅里叶变换(SFFT)代码及测试
- ChatGPT联网模式亮相，体验智能压缩技术.zip
- 掌握进程保护的HOOK API技术
- 基于.Net的日用品网站开发：设计、实现与分析
- MyBatis-Spring 1.3.2版本下载指南
- 开源全能媒体播放器：小戴媒体播放器2 5.1-3
- 华为eNSP参考文档：DHCP与VRP操作指南
- SpringMyBatis实现疫苗接种预约系统
- VHDL实现倒车雷达系统源码免费提供
- 掌握软件测评师考试要点：历年真题解析
- 轻松下载微信视频号内容的新工具介绍
资源上传下载、课程学习等过程中有任何疑问或建议，欢迎提出宝贵意见哦~我们会及时处理！
点击此处反馈
